%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:30:55 PM UTC 2026
% Result : Unsatisfiable 3.59s 16.44s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 35 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 32 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_52,negated_conjecture,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) )
| ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(double_divide(X1,X2),inverse(double_divide(inverse(X3),inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))))))) = X3,
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_53,c_53]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X3)),X2))))),inverse(X0)))) = X3,
inference(superposition,[status(thm)],[c_114,c_114]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(inverse(X1),inverse(X0)))) = X1,
inference(demodulation,[status(thm)],[c_144,c_53]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_181,c_53]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_187,c_181]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))),inverse(X2)),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_257,c_115]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),inverse(double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[status(thm)],[c_257,c_53]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_283,c_257]) ).
tcf(c_593,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),inverse(X2)) = double_divide(inverse(X2),inverse(X0)),
inference(superposition,[status(thm)],[c_181,c_284]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))),inverse(X0)) = double_divide(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_257,c_284]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_595,c_257]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_284,c_593]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(X1,inverse(double_divide(inverse(X0),X2))))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_53,c_295]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(double_divide(X1,inverse(X1)))) = inverse(X0),
inference(superposition,[status(thm)],[c_257,c_295]) ).
tcf(c_740,plain,
( ( inverse(inverse(a2)) != a2 )
| ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(demodulation,[status(thm)],[c_52,c_724]) ).
tcf(c_741,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_257,c_724]) ).
tcf(c_742,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_740,c_741]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_741,c_187]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_741,c_295]) ).
tcf(c_821,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
inference(superposition,[status(thm)],[c_741,c_760]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_623,c_763]) ).
tcf(c_963,plain,
( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
| ( inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(demodulation,[status(thm)],[c_742,c_958]) ).
tcf(c_1052,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(X2))) = double_divide(X2,X1),
inference(demodulation,[status(thm)],[c_717,c_958]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] : double_divide(X0,inverse(inverse(X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_821,c_1052]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(inverse(X0),X1),X2)) = double_divide(inverse(X2),X1),
inference(superposition,[status(thm)],[c_741,c_1052]) ).
tcf(c_1432,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_1059,c_741]) ).
tcf(c_1433,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_763,c_1432]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_1432,c_1433]) ).
tcf(c_1463,plain,
( ( inverse(double_divide(b1,inverse(b1))) != double_divide(a1,inverse(a1)) )
| ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ) ),
inference(ground_joinability,[status(thm)],[c_963,c_1432]) ).
tcf(c_1464,plain,
( ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) )
| ( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ) ),
inference(demodulation,[status(thm)],[c_1463,c_958,c_1432]) ).
tcf(c_1465,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(forward_subsumption_resolution,[status(thm)],[c_1464,c_622]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(double_divide(X0,X1),X2)) = double_divide(inverse(X2),X1),
inference(superposition,[status(thm)],[c_741,c_1069]) ).
tcf(c_4307,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_1433,c_2866]) ).
tcf(c_4308,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[status(thm)],[c_1443,c_2866]) ).
tcf(c_4324,plain,
double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(b3),double_divide(a3,c3)),
inference(demodulation,[status(thm)],[c_1465,c_4307]) ).
tcf(c_4400,plain,
$false,
inference(ground_joinability,[status(thm)],[c_4324,c_1432,c_4308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP107-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.61 % Computer : n010.cluster.edu
% 0.11/15.61 % Model : x86_64 x86_64
% 0.11/15.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.61 % Memory : 8046.5625MB
% 0.11/15.61 % OS : Linux 6.8.0-71-generic
% 0.11/15.61 % CPULimit : 300
% 0.11/15.61 % WCLimit : 300
% 0.11/15.61 % DateTime : Wed Sep 23 13:33:21 UTC 2026
% 0.11/15.61 % CPUTime :
% 0.11/15.61 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.64 Running first-order theorem proving
% 0.11/15.64 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/15.65
% 0.11/15.65 % ======== iProver multi-core TPTP/SMT =========
% 0.11/15.65
% 0.11/15.65 % Detected problem language: tptp
% 0.11/15.66 % Proving...
% 3.59/16.44 % SZS status Started for theBenchmark.p
% 3.59/16.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/16.44
% 3.59/16.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.59/16.44
% 3.59/16.44 % ------ iProver source info
% 3.59/16.44
% 3.59/16.44 % git: date: 2026-07-19 20:42:38 +0200
% 3.59/16.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.59/16.44 % git: non_committed_changes: false
% 3.59/16.44
% 3.59/16.44 % ------ Parsing...% successful
% 3.59/16.44
% 3.59/16.44
% 3.59/16.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.59/16.44
% 3.59/16.44 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.59/16.44
% 3.59/16.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.59/16.44
% 3.59/16.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.59/16.44 % ------ Proving...
% 3.59/16.44 % ------ Problem Properties
% 3.59/16.44
% 3.59/16.44 %
% 3.59/16.44 % clauses 2
% 3.59/16.44 % conjectures 1
% 3.59/16.44 % EPR 0
% 3.59/16.44 % Horn 2
% 3.59/16.44 % unary 1
% 3.59/16.44 % binary 0
% 3.59/16.44 % lits 5
% 3.59/16.44 % lits eq 5
% 3.59/16.44 % fd_pure 0
% 3.59/16.44 % fd_pseudo 0
% 3.59/16.44 % fd_cond 0
% 3.59/16.44 % fd_pseudo_cond 0
% 3.59/16.44 % AC symbols 0
% 3.59/16.44
% 3.59/16.44 % ------ Schedule dynamic 5 is on
% 3.59/16.44
% 3.59/16.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.59/16.44
% 3.59/16.44
% 3.59/16.44 % ------
% 3.59/16.44 % Current options:
% 3.59/16.44 % ------
% 3.59/16.44
% 3.59/16.44
% 3.59/16.44 %
% 3.59/16.44
% 3.59/16.44 % ------ Proving...
% 3.59/16.44 %
% 3.59/16.44
% 3.59/16.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.59/16.44
% 3.59/16.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.59/16.44
% 3.59/16.44
%------------------------------------------------------------------------------